Add1/4(x+4)+1/4(4x-2) answer should be in mix number form

To find the solution, we first simplify the expression:

1/4(x + 4) + 1/4(4x - 2)
= 1/4 * x + 1/4 * 4 + 1/4 * 4x - 1/4 * 2
= x/4 + 1 + 4x/4 - 1/2
= x/4 + 1 + x - 1/2
= x/4 + x/1 + 1 - 1/2
= x/4 + 4x/4 + 2/2 - 1/2
= (x + 4x)/4 + 1/2
= 5x/4 + 1/2

Now, let's convert the improper fraction into mixed number form:

5x/4 + 1/2
= (2 * (5x/4) + 4 * (1/2))/(2 * 4)
= (10x/4 + 4/2)/8
= (10x/4 + 2)/8

Therefore, the answer in mixed number form is (10x + 2)/8.